Global existence for the interaction of a Navier-Stokes fluid with a linearly elastic shell
Analysis of PDEs
2012-04-10 v2
Abstract
In my PhD thesis I show the existence of global-in-time weak solutions for a Navier-Stokes fluid interacting with a linearly elastic shell of Koiter type. This is achieved by the introduction of a new method for showing the compactness of bounded sequences of approximate weak solutions. This method might be of general interest in the study of fluid dynamical problems involving a free boundary. There is no damping term involved in the shell equations.
Keywords
Cite
@article{arxiv.1204.1304,
title = {Global existence for the interaction of a Navier-Stokes fluid with a linearly elastic shell},
author = {Daniel Lengeler},
journal= {arXiv preprint arXiv:1204.1304},
year = {2012}
}
Comments
The thesis is written in German. An English publication in a journal will follow soon. In the first version some pages were missing, due to processing problems. Futhermore, some details were added to the metadata abstract